One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft2. The length is 1 less than 3 times the width. How wide should the metal piece be? Round to the nearest hundredth of a foot.
Let's call the width "x."
The width is x and the length is 3x - 1
The area of the width and length is 30.
(x)(3x-1) = 30
3x^2-x = 30
3x^2-x-30 = 0
(3x+3)(x-10) = 0
Solve 3x+3=0 and x-10=0 and see which value of "x" is feasible. (hint: widths cannot be negative.)
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